Pointwise multiplier in Orlicz-Morrey spaces Ifronika, Denny Ivanal Hakim, M. Wono Setya Budhi
Institut Teknologi Bandung
Abstract
We consider inclusion results between some Orlicz-Morrey spaces and the spaces of pointwise multiplication operators on other Orlicz-Morrey spaces. We prove that the multiplication operators are bounded from an Orlicz-Morrey spaces to another Orlicz-Morrey space under certain assumptions. We also show that a pointwise multiplier can be recognized as a member of an Orlicz-Morrey space. Our results can be seen as a generalization of those on Morrey spaces.
